Question

Arc cd is of the circumference of a circle. What is the radian measure of the central angle? radians radians radians radians

Answer 1

If the arc cd is K times circumference, then the central angle is K times 2pi.

(where K is any real between 0 and 1).

How to find the central angle?

The question is incomplete, but it can be answered in a general form.

We know that for a circle of radius R, the circumference is:

C = 2*pi*R

While for an arc of central angle θ, the length of the arc is:

A = θ*R

Now, if we know that the arc is K times the circumference (Where K can be any real number between 0 and 1), then we have that:

A = θ*R = K*2*pi*R

Now we can solve that for the central angle:

θ = K*2*pi*R/R = K*2*pi

θ = K*2*pi

So, if the arc cd is K times circumference, then the central angle is K times 2pi.

If you want to learn more about circles, you can read:

https://brainly.com/question/25306774